A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 56 men and 80 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women
N Mean StDev SE Mean
Men 56 112.5 11.1 1.5
Women 80 118.7 14.2 1.6
95% CI for men – mu Women
T-Test mu Men = wu Women (vs<)
T = 2.85 P = 0.0025 DF = 132
a) State the null and alternative hypotheses. Which of the following is correct?
A. H0: u1 = u2; Ha :u1>u2
B. H0:u1 = u2;Ha::u1 not equal u2
C. H0:u1 = u2;Ha:u1 b) Identify the P-value and state the researcher’s conclusion if the level of significance was a = 0.001. What is the P-value?
P =
State the researcher’s conclusion. Which of the following is correct?
A. Fail to reject H0, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women.
B. Reject H0, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women.
C. Fail to reject H0, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women.
D. Reject H0, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women.
c) What is the 95% confidence interval for the mean difference in pulse rates of men vs. women?
(__,__) (Use ascending order. Round to two decimal places as needed.
Interpret this result.
A. We are 95% confident that the means are in the confidence interval.
B. We are 95% confident that the mean difference is in the confidence interval.
C. 95% percent of the time the mean difference is in the confidence interval.
D. 95% percent of the time the means are in the confidence interval